New morning, long vacation

I had a very interesting vacation with my sister for her graduation. I don't want to go back to work today; the pile of things to do is enormous. However, my mind is so clear right now that I couldn't feel more at peace. I am totally ready to jump back into the grind.

I decided to write up at least one math problem a day to keep my abilities sharp in between blog carnival posts. I had a time relearning all the steps to the proof of Burnside's Lemma. It's been way too long since my learning of group theory, and a lot of my math is rusty.

Indeed, a lot of things are rusty that I have neglected to keep up. Time to correct that. :)